122013313321311 has 32 divisors (see below), whose sum is σ = 191397699852480. Its totient is φ = 76555666188288.

The previous prime is 122013313321271. The next prime is 122013313321337. The reversal of 122013313321311 is 113123313310221.

122013313321311 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 1 + 3 + 313 + 32 + 1 + 311 = 666.

It is not a de Polignac number, because 122013313321311 - 2²² = 122013309127007 is a prime.

It is a super-3 number, since 3×122013313321311³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013313321351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17804695 + ... + 23686151.

It is an arithmetic number, because the mean of its divisors is an integer number (5981178120390).

Almost surely, 2^{122013313321311} is an apocalyptic number.

122013313321311 is a deficient number, since it is larger than the sum of its proper divisors (69384386531169).

122013313321311 is a wasteful number, since it uses less digits than its factorization.

122013313321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926680 (or 5926674 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 122013313321311 its reverse (113123313310221), we get a palindrome (235136626631532).

The spelling of 122013313321311 in words is "one hundred twenty-two trillion, thirteen billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred eleven".